Approximation of functions belonging to the generalized Lipschitz class by $C^{1}\cdot N_{p}$ summability method of conjugate series of Fourier series

Vishnu Narayan Mishra, Kejal Khatri, Lakshmi Narayan Mishra

In the present study, a new theorem on the degree of approximation of function $\tilde{f}$, conjugate to a periodic function $f$ belonging to weighted $W(L_r,\xi(t))$-class using semi-monotonicity on the generating sequence $\{p_n\}$ has been established.